Solve 2-6x^32 - ScanMath

Question

Simplify the expression

2 - 12 x^{3}

Evaluate

2 - 6 x^{3} \times 2

Solution

2 - 12 x^{3}

Show Solution

2 (1 - 6 x^{3})

Evaluate

2 - 6 x^{3} \times 2

Multiply the terms

2 - 12 x^{3}

Solution

2 (1 - 6 x^{3})

Show Solution

x = \frac{3 36}{6}

Alternative Form

x \approx 0.550321

Evaluate

2 - 6 x^{3} \times 2

To find the roots of the expression,set the expression equal to 0

2 - 6 x^{3} \times 2 = 0

Multiply the terms

2 - 12 x^{3} = 0

Move the constant to the right-hand side and change its sign

- 12 x^{3} = 0 - 2

Removing 0 doesn't change the value,so remove it from the expression

- 12 x^{3} = - 2

Change the signs on both sides of the equation

12 x^{3} = 2

Divide both sides

\frac{12 x ^{3}}{12} = \frac{2}{12}

Divide the numbers

x^{3} = \frac{2}{12}

Cancel out the common factor 2

x^{3} = \frac{1}{6}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{1}{6}

Calculate

x = 3 \frac{1}{6}

Solution

More Steps

Evaluate

3 \frac{1}{6}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 6}

Simplify the radical expression

\frac{1}{3 6}

Multiply by the Conjugate

\frac{3 6 ^{2}}{3 6 \times 3 6 ^{2}}

Simplify

\frac{3 36}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 3 6^{2}

The product of roots with the same index is equal to the root of the product

3 6 \times 6^{2}

Calculate the product

3 6^{3}

Reduce the index of the radical and exponent with 3

6

\frac{3 36}{6}

x = \frac{3 36}{6}

Alternative Form

x \approx 0.550321

Show Solution